Respuesta :
The probability that you'll be a magic elf is [tex]\frac{1}{15}[/tex] or 6.66%.
Step-by-step explanation:
Step 1:
Let A be the event of you choosing an elf.
The probability of an event is given by dividing the number of favorable outcomes by the total number of outcomes.
Here the number of favorable outcomes is 1 and the total number of outcomes is 3 i.e. elf, hobbit or human.
The probability of choosing an elf, [tex]P(A) = \frac{1}{3} .[/tex]
Step 2:
Let B be the event of you choosing magic as your defense.
In this situation, the number of favorable outcomes is 1 and the total number of outcomes is 5 i.e. magic, sword, shield, slingshot, or umbrella.
The probability of choosing magic as your defense, [tex]P(B) = \frac{1}{5} .[/tex]
Step 3:
The probability of both events A and B happening, we multiply the individual probabilities.
[tex]P(getting a magic elf) = (P(A))(P(B)) = (\frac{1}{3} )(\frac{1}{5} ) = \frac{1}{15} = 6.66\%.[/tex]
